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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Cell. Infect. Microbiol.</journal-id>
<journal-title>Frontiers in Cellular and Infection Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Cell. Infect. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">2235-2988</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcimb.2025.1504741</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Cellular and Infection Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Serology reveals comparable patterns in the transmission intensities of <italic>Plasmodium falciparum</italic> and <italic>Plasmodium vivax</italic> in Langkat district, North Sumatera Province, Indonesia</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lubis</surname>
<given-names>Inke Nadia Diniyanti</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Nainggolan</surname>
<given-names>Irbah Rea Alvieda</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Meliani</surname>
<given-names>Meliani</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Hasibuan</surname>
<given-names>Beby Syofiani</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Sangaran</surname>
<given-names>Kumuthamalar</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Samsudin</surname>
<given-names>Luqman</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Chuangchaiya</surname>
<given-names>Sriwipa</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
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<contrib contrib-type="author">
<name>
<surname>Divis</surname>
<given-names>Paul Cliff Simon</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Permatasari</surname>
<given-names>Ranti</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Idris</surname>
<given-names>Zulkarnain Md</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Medicine, Universitas Sumatera Utara</institution>, <addr-line>Medan</addr-line>, <country>Indonesia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Parasitology and Medical Entomology, Faculty of Medicine, Universiti Kebangsaan Malaysia</institution>, <addr-line>Kuala Lumpur</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>National Public Health Laboratory, Ministry of Health</institution>, <addr-line>Sungai Buloh, Selangor</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Vector-Borne Disease Unit, Lipis District Health Office</institution>, <addr-line>Kuala Lipis, Pahang</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Community Health, Faculty of Public Health, Kasetsart University</institution>, <addr-line>Sakon Nakhon</addr-line>, <country>Thailand</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Malaria Research Centre, Faculty of Medicine and Health Sciences, Universiti Malaysia Sarawak</institution>, <addr-line>Kota Samarahan, Sarawak</addr-line>, <country>Malaysia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Louisa Alexandra Messenger, University of Nevada, Las Vegas, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Akira Kaneko, Karolinska Institutet (KI), Sweden</p>
<p>Isaac Kweku Quaye, Regent University College of Science and Technology, Ghana</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Inke Nadia Diniyanti Lubis, <email xlink:href="mailto:inke.nadia@usu.ac.id">inke.nadia@usu.ac.id</email>; Zulkarnain Md Idris, <email xlink:href="mailto:zulkarnain.mdidris@ukm.edu.my">zulkarnain.mdidris@ukm.edu.my</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>02</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>15</volume>
<elocation-id>1504741</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>10</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Lubis, Nainggolan, Meliani, Hasibuan, Sangaran, Samsudin, Chuangchaiya, Divis, Permatasari and Idris</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lubis, Nainggolan, Meliani, Hasibuan, Sangaran, Samsudin, Chuangchaiya, Divis, Permatasari and Idris</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>The incidence of malaria in Indonesia has declined significantly over the last few decades. Thus, a demand for more sensitive techniques to describe low levels of transmission in the country is important. This study was conducted to evaluate antibody response to <italic>Plasmodium falciparum</italic> and <italic>Plasmodium vivax</italic> in an area nearing elimination in North Sumatera Province, Indonesia.</p>
</sec>
<sec>
<title>Methods</title>
<p>A cross-sectional survey was conducted in Langkat district, North Sumatera Province, in June 2019. Basic demographic data and filter paper blood spots were collected from 339 participants. Antibody responses to two <italic>P.&#xa0;falciparum</italic> (PfAMA-1 and PfMSP-1<sub>19</sub>) and two <italic>P. vivax</italic> (PvAMA-1 and PvMSP-1<sub>19</sub>) antigens were measured using indirect enzyme-linked immunosorbent assay (ELISA). Seroconversion rates (SCR) were estimated by fitting a simple reversible catalytic model to seroprevalence data for each antibody. Multiple logistic regression was used to investigate factors associated with exposure.</p>
</sec>
<sec>
<title>Results</title>
<p>The overall malaria seroprevalence was 10.6% for PfAMA-1, 13% for PfMSP-1<sub>19</sub>, 18.6% for PvAMA-1, and 7.4% for PvMSP-1<sub>19</sub>. Seropositive individuals for <italic>P. falciparum</italic> (PfAMA-1/PfMSP-1<sub>19</sub>) and <italic>P. vivax</italic> (PvAMA-1/PvMSP-1<sub>19</sub>) were similar at 20.7%, with no significant differences observed between age groups (p&#xa0;&gt; 0.05). Based on the reversible catalytic model, the calculated SCRs indicated a higher level of <italic>P. falciparum</italic> transmission than <italic>P. vivax</italic> using all tested antigens. In the adjusted model, only spending nights in the forest was associated with <italic>P.&#xa0;vivax</italic> seropositivity (odd ratio: 3.93, p &lt; 0.001).</p>
</sec>
<sec>
<title>Conclusion</title>
<p>The analysis of community-based serological data helps describe the similar levels of <italic>P. falciparum</italic> and <italic>P. vivax</italic> transmission in the Langkat district. The use of a serological approach enhances the detection of past exposure, aiding in the identification of epidemiological risk factors and malaria surveillance in low transmission settings in Indonesia.</p>
</sec>
</abstract>
<kwd-group>
<kwd>malaria</kwd>
<kwd>
<italic>P. falciparum</italic>
</kwd>
<kwd>
<italic>P. vivax</italic>
</kwd>
<kwd>serology</kwd>
<kwd>transmission</kwd>
<kwd>Indonesia</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="44"/>
<page-count count="10"/>
<word-count count="4861"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Parasite and Host</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Malaria remains a significant global health concern, particularly in tropical and subtropical countries. Indonesia, one of nine malaria-endemic countries in tropical Southeast Asia, has set a goal to eliminate malaria by 2030 (<xref ref-type="bibr" rid="B40">WHO, 2015</xref>). The country has made remarkable progress in malaria control, reducing the incidence from 1.8 million cases in 2011 to 811,636 cases in 2021 (<xref ref-type="bibr" rid="B41">WHO, 2023</xref>). In 2022, it was estimated that only 6.4% of Indonesia&#x2019;s population was at high risk of malaria with 8.2% still living in active foci areas (<xref ref-type="bibr" rid="B41">WHO, 2023</xref>). As malaria-endemic areas in Indonesia shrink and become more localized, ongoing efforts to control and monitor the disease are crucial to containing its transmission.</p>
<p>Measuring malaria transmission patterns is important for effectively targeting control strategies and evaluating their impact after implementation. One method to estimate transmission involves assessing the malaria-specific immune responses in local populations, which serve as indicators of exposure to infection (<xref ref-type="bibr" rid="B37">van den Hoogen and Drakeley, 2017</xref>). Serological markers offer an alternative to traditional surveillance methods, allowing for the effective measurement of malaria transmission through the detection of antimalarial antibodies developed in response to the parasite antigens (<xref ref-type="bibr" rid="B44">Zakeri et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>). In low malaria transmission settings, this validated approach not only serves as a proxy to conventional methods but also provides greater sensitivity and reliability (<xref ref-type="bibr" rid="B37">van den Hoogen and Drakeley, 2017</xref>). As such, it is a valuable tool for guiding tailored malaria control programs and monitoring changes in transmission following intervention (<xref ref-type="bibr" rid="B6">Cook et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B9">Dewasurendra et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B15">Idris et&#xa0;al., 2017b</xref>; <xref ref-type="bibr" rid="B22">Macalinao et&#xa0;al., 2023</xref>). Numerous studies conducted in low-endemicity regions have demonstrated positive outcomes in using seroepidemiological analysis in determining the malaria burden, leading to improved public health policy planning (<xref ref-type="bibr" rid="B29">Rosas-Aguirre et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B44">Zakeri et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B17">Keffale et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B27">Rahim et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B28">Rahim et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B26">Pinedo-Cancino et&#xa0;al., 2024</xref>).</p>
<p>Investigating the application of serological metrics in order to&#xa0;understand the historical patterns of malaria transmission in&#xa0;a&#xa0;population is essential in Indonesia. Whilst several seroepidemiological studies have been conducted in provinces in Indonesia with a very low prevalence of <italic>Plasmodium falciparum</italic> and <italic>Plasmodium vivax</italic> namely Central Java (<xref ref-type="bibr" rid="B4">Bretscher et&#xa0;al., 2013</xref>), Lampung (<xref ref-type="bibr" rid="B33">Supargiyono et&#xa0;al., 2013</xref>), Aceh (<xref ref-type="bibr" rid="B35">Surendra et&#xa0;al., 2019</xref>) and Yogyakarta (<xref ref-type="bibr" rid="B34">Surendra et&#xa0;al., 2020</xref>), no such study has been carried out in North Sumatera Province where the prevalence of <italic>Plasmodium knowlesi</italic> and multispecies of human malaria have been reported (<xref ref-type="bibr" rid="B21">Lubis et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>). In the present study, antibody responses to <italic>P. falciparum</italic> and <italic>P. vivax</italic> blood-stage antigens apical membrane antigen 1 (AMA-1), and merozoite surface antigen-1<sub>19</sub> (MSP-1<sub>19</sub>) were measured to assess malaria exposure and transmission in North Sumatera Province.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Ethics statement</title>
<p>The study was conducted following the Declaration of Helsinki and was approved by the Ethics Committee of the Faculty of Medicine, Universitas Sumatera Utara (No. 179/TGL/KEPK FK-USU-RSUPHAM/2019). Participants were sensitized to the study objectives and procedures by the local health district personnel for the study participation.</p>
</sec>
<sec id="s2_2">
<title>Study area</title>
<p>A community-based cross-sectional survey using a convenience sampling strategy was conducted in Langkat district, North Sumatera Province, Indonesia, in June 2019 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The dominant ethnic group in the study area is Batak Karo; Karo dialect is primarily spoken, as well as the national language of Indonesia (<xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>). Langkat district covers 6,263 km&#xb2; with an altitude ranging from 4 to 105 meters above sea level. In 2019, the population of Langkat was estimated at 1,041,775 inhabitants (<xref ref-type="bibr" rid="B24">Pemerintah kabupaten Langkat, 2014</xref>). All villages share similar environmental characteristics, as they are located in the middle of the forest, with forestry and agriculture being the primary economic activities. These forest activities by the local population could potentially increase malaria transmission to outdoor-biting and forest-dwelling mosquitoes. This study is the first to assess the seroprevalence of malaria in the area, building on previous knowledge of a very low malaria prevalence, including a 0.3% microscopic infection rate, zero rapid diagnostic test (RDT)-positive cases, and a 0.9% submicroscopic infection rate in the population (<xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map of the study area. <bold>(A)</bold> Map of the Republic of Indonesia. <bold>(B)</bold> Map of Sumatera Island in Indonesia showing the location of the study area (red circle) within Langkat district, North Sumatera Province (blue).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcimb-15-1504741-g001.tif"/>
</fig>
</sec>
<sec id="s2_3">
<title>Sample collection</title>
<p>The sample size for study participation was calculated using Cochran&#x2019;s formula: N = z&#xb2;p(1 &#x2013; p)/e&#xb2;, where z is the 95% confidence interval (z-value of 1.96), p is the expected prevalence of malaria (11.4% from a previous study by Surendra et&#xa0;al (<xref ref-type="bibr" rid="B35">Surendra et&#xa0;al., 2019</xref>)), and e is the allowed error margin (5%). Based on these considerations, a minimum size of 155 participants was calculated. The study protocol was explained to participants, and informed consent was documented, with provisions for illiterate participants and those under 18 years requiring parental or guardian consent. Participants were informed of their right to withdraw from the study at any time without prejudice. Village leaders and household heads were informed about the study&#x2019;s objectives and procedures and asked to invite residents to the survey point. Inclusion criteria were individuals over 6 months old who had lived in the area for at least 6 months and consented to participate, while exclusion criteria included physically or mentally unfit individuals and incomplete examination data.</p>
<p>A standardized questionnaire was used to collect sociodemographic information from each participant. Finger prick blood samples were collected to prepare for dried blood spots (DBSs) on Whatman 3MM filter paper (Whatman, UK). Axillary body temperature was determined using a digital thermometer and fever was defined as a temperature exceeding 37.5&#xb0;C. Hemoglobin (Hb) level was measured with the HemoCue Hb 201 analyzer (HemoCue, Sweden). Anemia was defined based on the concentrations of Hb in the blood according to WHO criteria (<xref ref-type="bibr" rid="B39">WHO, 2011</xref>). The DBS samples were air-dried and stored individually in sealed plastic bags. All DBS samples were transported under cold conditions to the laboratory in the Faculty of Medicine, Universitas Sumatera Utara, Medan, and stored at &#x2212;20&#xb0;C until further processing.</p>
</sec>
<sec id="s2_4">
<title>Serological assay</title>
<p>A serum elution from 6-mm diameter DBS punches was used as previously described (<xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B15">Idris et&#xa0;al., 2017b</xref>; <xref ref-type="bibr" rid="B27">Rahim et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B28">Rahim et&#xa0;al., 2023</xref>). Briefly, proper elution of plasma from DBSs (i.e. equivalent to a 1:200 dilution of serum) was assessed by the color change of the spots (to white) as well as the elution (to red/brown) after soaking them for 1&#x2013;2 nights in reconstitution solution at ambient temperature while on a horizontal shaker. If blood spots did not change color, still retaining the brownish blood color, spots were soaked further until a color change was observed or excluded from analyses as reported before (<xref ref-type="bibr" rid="B7">Corran et&#xa0;al., 2008</xref>). Antibody responses (immunoglobulin G) against apical membrane antigen-1 or the 19-kDa fragment of merozoite surface protein-1 for <italic>P. falciparum</italic> (PfAMA-1 and PfMSP-1<sub>19</sub>, respectively) and <italic>P.&#xa0;vivax</italic> (PvAMA-1 and PvMSP-1<sub>19</sub>) were tested using enzyme-linked immunosorbent assay (ELISA) as previously described (<xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B15">Idris et&#xa0;al., 2017b</xref>; <xref ref-type="bibr" rid="B27">Rahim et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B28">Rahim et&#xa0;al., 2023</xref>). Briefly, sera from the reconstituted blood spot samples were added in duplicate at a final concentration of 1:1,000 for MSP-1<sub>19</sub> and 1:2,000 for AMA-1. In addition, four wells of malaria-na&#xef;ve Malaysians sera as negative controls and a fivefold dilution series (starting at 1:100 for AMA-1 and 1:50 for MSP-1<sub>19</sub>) of a hyper-immune plasma pool (n = 15) were added per plate. Optical density (OD) values were measured at 450 nm with a Multiskan Go ELISA microplate reader (Thermo Scientific, USA).</p>
</sec>
<sec id="s2_5">
<title>Data analysis</title>
<p>The gathered data were compiled into a Microsoft Excel spreadsheet and cross-checked for errors, with all further statistical analyses conducted in STATA version 13.1 (StataCorp, TX, USA). Continuous variables were presented using the median and interquartile range (IQR), while categorical variables were described using frequencies and percentages. Differences in proportions were tested using the chi-squared test or Fisher&#x2019;s exact test. Duplicate ODs per individual were averaged, adjusted for background reactivity, and normalized against the positive control curve as previously described to adjust for plate variation (<xref ref-type="bibr" rid="B7">Corran et&#xa0;al., 2008</xref>). Seropositivity thresholds for separate antigens were calculated using a finite mixture model (<xref ref-type="bibr" rid="B32">Stewart et&#xa0;al., 2009</xref>), defining individuals as seropositive when their adjusted OD value exceeded the mean of the lower Gaussian distribution plus three times the standard deviation. The reversible catalytic model was employed to define the seroconversion rate (SCR) and plot corresponding seroconversion curves while fitting age-adjusted seropositivity to <italic>P. falciparum</italic> or <italic>P. vivax</italic> using maximum likelihood (<xref ref-type="bibr" rid="B10">Drakeley et&#xa0;al., 2005</xref>). Infants under one year of age were excluded from the reversible catalytic model to eliminate the influence of maternally derived antibodies (<xref ref-type="bibr" rid="B10">Drakeley et&#xa0;al., 2005</xref>). Factors associated with <italic>P. falciparum</italic> and <italic>P. vivax</italic> seropositivities were determined independently for each site using generalized estimating equations, adjusting for correlation between observations from the same variables. Variables significant at p &lt; 0.10 in the univariate analyses were incorporated into the multivariate model and retained in the final model if their association with immune responses was statistically significant at p &lt; 0.05.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Characteristics of the study population</title>
<p>A total of 339 individuals were sampled during a cross-sectional survey in Langkat district, Sumatera Utara Province, Indonesia, in June 2019 (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The median age was 39 years old (IQR 19-54) and were mostly female (68.1%). Individuals with fever and anemia at enrolment accounted for 0.6% and 36.9%, respectively. A total of 36.9% of the study participants reported having at least one bed net in their house, resulting in an overall usage of 42.2%. The majority of the participants were forest-goers (58.7%) and live within the forest fringes (86.1%). Approximately 35.7% of the study participants reported spending a night in the forest within the last 2 weeks and only 0.6% reported a history of malaria over the past 3 months.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>General characteristics of the study population in Langkat district, North Sumatera Province, Indonesia in 2019.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Demographic data</th>
<th valign="middle" align="center">% (95% CI)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Sample size, n</td>
<td valign="middle" align="center">339</td>
</tr>
<tr>
<td valign="middle" align="left">Median age (IQR)</td>
<td valign="middle" align="center">39 (19-54)</td>
</tr>
<tr>
<td valign="middle" align="left">&lt;15</td>
<td valign="middle" align="center">24.5 (19.9-29.4)</td>
</tr>
<tr>
<td valign="middle" align="left">16 &#x2013; 30</td>
<td valign="middle" align="center">13.6 (10.1-17.7)</td>
</tr>
<tr>
<td valign="middle" align="left">31 &#x2013; 45</td>
<td valign="middle" align="center">23 (18.6-27.9)</td>
</tr>
<tr>
<td valign="middle" align="left">&gt;45</td>
<td valign="middle" align="center">38.9 (33.7-44.4)</td>
</tr>
<tr>
<td valign="middle" align="left">Female</td>
<td valign="middle" align="center">68.1 (62.9-73.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Fever<xref ref-type="table-fn" rid="fnT1_1">
<sup>a</sup>
</xref>
</td>
<td valign="middle" align="center">0.6 (0.1-2.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Anemia<xref ref-type="table-fn" rid="fnT1_2">
<sup>b</sup>
</xref>
</td>
<td valign="middle" align="center">36.9 (31.7-42.3)</td>
</tr>
<tr>
<td valign="middle" align="left">ITN ownership</td>
<td valign="middle" align="center">30.7 (25.8-35.9)</td>
</tr>
<tr>
<td valign="middle" align="left">Sleep under ITN every night</td>
<td valign="middle" align="center">42.2 (36.9-47.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Forest-goers</td>
<td valign="middle" align="center">58.7 (53.3-63.9)</td>
</tr>
<tr>
<td valign="middle" align="left">Live within forest fringes</td>
<td valign="middle" align="center">86.1 (81.9-89.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Spend nights at the forest<xref ref-type="table-fn" rid="fnT1_3">
<sup>c</sup>
</xref>
</td>
<td valign="middle" align="center">35.7 (0.31-0.41)</td>
</tr>
<tr>
<td valign="middle" align="left">History of malaria<xref ref-type="table-fn" rid="fnT1_4">
<sup>d</sup>
</xref>
</td>
<td valign="middle" align="center">0.6 (0.1-2.1)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>IQR, Interquartile range; CI, Confident interval; ITN, Insecticide-treated net.</p>
</fn>
<fn id="fnT1_1">
<label>a</label>
<p>Defined as a temperature exceeding 37.5&#xb0;C.</p>
</fn>
<fn id="fnT1_2">
<label>b</label>
<p>Based on the concentrations of Hb in the blood according to WHO criteria.</p>
</fn>
<fn id="fnT1_3">
<label>c</label>
<p>Within the last 2 weeks.</p>
</fn>
<fn id="fnT1_4">
<label>d</label>
<p>Reported history of malaria over the past 3 months; confirmed by local health records.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<title>Antibody response and seroprevalence</title>
<p>
<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> shows the age-specific seroprevalence and seroconversion rates of <italic>P. falciparum</italic> and <italic>P. vivax</italic> antigens among participants. Overall, malaria seroprevalence was 10.6% for PfAMA-1, 13% for PfMSP-1<sub>19</sub>, 18.6% for PvAMA-1, and 7.4% for PvMSP-1<sub>19</sub>. For all parasite antigens, no significant difference was observed in the proportion of seropositive individuals with increased age (all p &gt; 0.05). Between species-specific antigens and age groups, the proportion of seropositive individuals was significantly higher for PvAMA-1 compared to PvMSP-1<sub>19</sub> (all p &lt; 0.05), except for 16-30 years (p = 0.354). Furthermore, the proportion of participants who were seropositive for either <italic>P. falciparum</italic> antigens (PfAMA-1/PfMSP-1<sub>19</sub>) or <italic>P. vivax</italic> antigens (PvAMA-1/PvMSP-1<sub>19</sub>) were similar at 20.7%, with no significant differences observed between age groups (p &gt; 0.05).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Age-specific malaria seropositivity and seroconversion rates for participants in Langkat district, North Sumatera Province, Indonesia.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" colspan="10" align="center">Seroprevalence, % (n/N)</th>
</tr>
<tr>
<th valign="top" align="left">Category</th>
<th valign="top" align="left">PfAMA-1</th>
<th valign="top" align="left">PfMSP-1<sub>19</sub>
</th>
<th valign="top" align="left">p-value<xref ref-type="table-fn" rid="fnT2_1">
<sup>a</sup>
</xref>
</th>
<th valign="top" align="left">PvAMA-1</th>
<th valign="top" align="left">PvMSP-1<sub>19</sub>
</th>
<th valign="top" align="left">p-value<xref ref-type="table-fn" rid="fnT2_1">
<sup>a</sup>
</xref>
</th>
<th valign="top" align="left">PfAMA-1/PfMSP-1<sub>19</sub>
</th>
<th valign="top" align="left">PvAMA-1/PvMSP-1<sub>19</sub>
</th>
<th valign="top" align="left">p-value<xref ref-type="table-fn" rid="fnT2_2">
<sup>b</sup>
</xref>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">&#x2264;15</td>
<td valign="top" align="left">13.3 (11/83)</td>
<td valign="top" align="left">16.9 (14/83)</td>
<td valign="top" align="left">0.665</td>
<td valign="top" align="left">16.9 (14/83)</td>
<td valign="top" align="left">4.8 (4/83)</td>
<td valign="top" align="left">0.022</td>
<td valign="top" align="left">25.3 (21/83)</td>
<td valign="top" align="left">18.1 (15/83)</td>
<td valign="top" align="left">0.347</td>
</tr>
<tr>
<td valign="top" align="left">16 to 30</td>
<td valign="top" align="left">10.9 (5/46)</td>
<td valign="top" align="left">8.7 (4/46)</td>
<td valign="top" align="left">0.739</td>
<td valign="top" align="left">17.4 (8/46)</td>
<td valign="top" align="left">8.7 (4/46)</td>
<td valign="top" align="left">0.354</td>
<td valign="top" align="left">17.4 (8/46)</td>
<td valign="top" align="left">19.6 (9/46)</td>
<td valign="top" align="left">0.999</td>
</tr>
<tr>
<td valign="top" align="left">31 to 45</td>
<td valign="top" align="left">10.3 (8/78)</td>
<td valign="top" align="left">12.8 (10/78)</td>
<td valign="top" align="left">0.803</td>
<td valign="top" align="left">21.8 (17/78)</td>
<td valign="top" align="left">6.4 (5/78)</td>
<td valign="top" align="left">0.010</td>
<td valign="top" align="left">19.2 (15/78)</td>
<td valign="top" align="left">23.1 (18/78)</td>
<td valign="top" align="left">0.695</td>
</tr>
<tr>
<td valign="top" align="left">&gt;45</td>
<td valign="top" align="left">8.3 (11/132)</td>
<td valign="top" align="left">12.1 (16/132)</td>
<td valign="top" align="left">0.417</td>
<td valign="top" align="left">18.2 (24/132)</td>
<td valign="top" align="left">9.1 (12/132)</td>
<td valign="top" align="left">0.047</td>
<td valign="top" align="left">19.7 (26/132)</td>
<td valign="top" align="left">21.2 (28/132)</td>
<td valign="top" align="left">0.879</td>
</tr>
<tr>
<td valign="top" align="left">All ages</td>
<td valign="top" align="left">10.6 (36/339)</td>
<td valign="top" align="left">13 (44/339)</td>
<td valign="top" align="left">0.405</td>
<td valign="top" align="left">18.6 (63/339)</td>
<td valign="top" align="left">7.4 (25/339)</td>
<td valign="top" align="left">&lt;0.001</td>
<td valign="top" align="left">20.7 (70/339)</td>
<td valign="top" align="left">20.7 (70/339)</td>
<td valign="top" align="left">0.999</td>
</tr>
<tr>
<td valign="top" align="left">SCR (&#x3bb;)<xref ref-type="table-fn" rid="fnT2_3">
<sup>c</sup>
</xref> (95% CI)</td>
<td valign="top" align="left">0.089 (0.000-16.957)</td>
<td valign="top" align="left">0.053(0.006-0.449)</td>
<td valign="top" align="left">
</td>
<td valign="top" align="left">0.044 (0.009-0.223)</td>
<td valign="top" align="left">0.008 (0.002-0.033)</td>
<td valign="top" align="left">
</td>
<td valign="top" align="left">0.131 (0.011-1.683)</td>
<td valign="top" align="left">0.045 (0.011-0.181)</td>
<td valign="top" align="left">
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CI, Confident interval; SCR (&#x3bb;), Seroconversion rate.</p>
</fn>
<fn id="fnT2_1">
<label>a</label>
<p>Comparing individual seroprevalence between <italic>P. falciparum</italic> and <italic>P. vivax</italic> species-specific antigens.</p>
</fn>
<fn id="fnT2_2">
<label>b</label>
<p>Comparing combination seroprevalence between <italic>P. falciparum</italic> and <italic>P. vivax</italic> species-specific antigens.</p>
</fn>
<fn id="fnT2_3">
<label>c</label>
<p>Data from infants under 1 year of age were excluded from the reversible catalytic model to remove any influence of maternally derived antibodies.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_3">
<title>Transmission intensity and factors associated with transmission</title>
<p>The relationship between seroprevalence and age was further examined using reversible catalytic conversion models. The SCR rates for parasite antigens are shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>; <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. Based on the reversible catalytic model, the calculated SCRs indicated a higher level of <italic>P. falciparum</italic> transmission than <italic>P. vivax</italic> using all tested antigens. The <italic>P. falciparum</italic> SCR was 0.089 person-year (95% CI: 0.000&#x2013;19.957), 0.053 (95% CI: 0.006&#x2013;0.449) and 0.131 person-year (95% CI: 0.011&#x2013;1.683) for PfAMA-1, PfMSP-1<sub>19</sub> and PfAMA-1/PfMSP-1<sub>19</sub>, respectively. The <italic>P. vivax</italic> SCR was 0.053 person-year (95% CI: 0.006&#x2013;0.449), 0.008 (95% C: 0.002-0.033) and 0.045 person-year (95% CI: 0.011&#x2013;0.181) for PvAMA-1, PvMSP-1<sub>19</sub> and PvAMA-1/PvMSP-1<sub>19</sub>, respectively. Nevertheless, the SCRs were not statistically significant between species-specific antigens, evidenced by the overlapping confidence intervals. Univariate and multivariate logistic regression analyses to identify factors associated with seropositivity to a combination of any <italic>P.&#xa0;falciparum</italic>&#x2013; and <italic>P. vivax</italic>&#x2013;specific antigens are shown in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> and <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>, respectively. Only spending nights in the forest was associated with <italic>P. vivax</italic> seropositivity in the adjusted model. The&#xa0;crude odd ratio (OR) of <italic>P. vivax</italic> seropositivity for those spending nights in the forest compared to those who are not was 3.89 (95% CI: 2.25&#x2013;6.75, p &lt; 0.001). The increased trend for <italic>P. vivax</italic> positivity remained apparent in the adjusted model (AOR: 3.93, 95% CI: 2.21&#x2013;7.14, p &lt; 0.001). For <italic>P. falciparum</italic>, no variables were significantly associated with seropositivity in the adjusted model (all p &gt; 0.05).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Annual probability of seroconversion rate (SCR) for specific malaria antigen by age in the community of Langkat district, North Sumatera Province, Indonesia. Seropositive data were obtained using age deciles and fitted to reversible catalytic seroconversion models. Points show the observed values within each age group for <italic>P. falciparum</italic> (red) and <italic>P. vivax</italic> (green) recombinant antigens and the blue line shows the fitted curve.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcimb-15-1504741-g002.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Logistic regression analysis of explanatory factors for serological evidence of exposure to <italic>P. falciparum</italic> in Langkat district, North Sumatera Province, Indonesia.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Category</th>
<th valign="middle" align="center">Seropositive, % (n/N)</th>
<th valign="middle" align="center">COR (95 % CI)</th>
<th valign="middle" align="center">p-value</th>
<th valign="middle" align="center">AOR (95 % CI)</th>
<th valign="middle" align="center">p-value</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="6" align="left">Gender</th>
</tr>
<tr>
<td valign="middle" align="left">Male</td>
<td valign="bottom" align="center">22.2 (24/108)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Female</td>
<td valign="bottom" align="center">19.9 (46/231)</td>
<td valign="bottom" align="center">0.87 (0.49-1.52)</td>
<td valign="bottom" align="center">0.625</td>
<td valign="bottom" align="center">0.95 (0.53-1.69)</td>
<td valign="bottom" align="center">0.861</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Age group</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2264;15</td>
<td valign="bottom" align="center">25.3 (21/83)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">16&#x2013;30</td>
<td valign="bottom" align="center">17.4 (8/46)</td>
<td valign="bottom" align="center">0.62 (0.25-1.54)</td>
<td valign="bottom" align="center">0.305</td>
<td valign="bottom" align="center">0.43 (0.13-1.41)</td>
<td valign="bottom" align="center">0.162</td>
</tr>
<tr>
<td valign="middle" align="left">31&#x2013;45</td>
<td valign="bottom" align="center">19.2 (15/78)</td>
<td valign="bottom" align="center">0.71 (0.33-1.49)</td>
<td valign="bottom" align="center">0.357</td>
<td valign="bottom" align="center">0.47 (0.16-1.39)</td>
<td valign="bottom" align="center">0.173</td>
</tr>
<tr>
<td valign="middle" align="left">&gt;45</td>
<td valign="bottom" align="center">19.7 (26/132)</td>
<td valign="bottom" align="center">0.72 (0.38-1.39)</td>
<td valign="bottom" align="center">0.334</td>
<td valign="bottom" align="center">0.48 (0.17-1.36)</td>
<td valign="bottom" align="center">0.169</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">ITN ownership</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">19.6 (46/235)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">23.1 (24/104)</td>
<td valign="bottom" align="center">1.23 (0.71-2.15)</td>
<td valign="bottom" align="center">0.463</td>
<td valign="bottom" align="center">1.05 (0.41-2.64)</td>
<td valign="bottom" align="center">0.924</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">ITN use</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">19.4 (38/196)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">22.4 (32/143)</td>
<td valign="bottom" align="center">1.19 (0.71-2.03)</td>
<td valign="bottom" align="center">0.502</td>
<td valign="bottom" align="center">1.15 (0.48-2.73)</td>
<td valign="bottom" align="center">0.756</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Occupation</th>
</tr>
<tr>
<td valign="middle" align="left">Non-forest goers</td>
<td valign="bottom" align="center">9.1 (2.22)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Forest goers</td>
<td valign="bottom" align="center">21.1 (42/199)</td>
<td valign="bottom" align="center">2.68 (0.61-11.91)</td>
<td valign="bottom" align="center">0.196</td>
<td valign="bottom" align="center">2.56 (0.57-11.49)</td>
<td valign="bottom" align="center">0.220</td>
</tr>
<tr>
<td valign="middle" align="left">Unemployed</td>
<td valign="bottom" align="center">22 (26/118)</td>
<td valign="bottom" align="center">2.83 (0.62-12.89)</td>
<td valign="bottom" align="center">0.180</td>
<td valign="bottom" align="center">2.27 (0.47-11.06)</td>
<td valign="bottom" align="center">0.309</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Live within forest fringe</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">23.4 (11/47)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">20.2 (59/292)</td>
<td valign="bottom" align="center">0.83 (0.39-1.72)</td>
<td valign="bottom" align="center">0.615</td>
<td valign="bottom" align="center">0.76 (0.35-1.68)</td>
<td valign="bottom" align="center">0.498</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Spend night at the forest</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">19.3 (42/218)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">23.1 (28/121)</td>
<td valign="bottom" align="center">1.26 (0.74-2.17)</td>
<td valign="bottom" align="center">0.399</td>
<td valign="bottom" align="center">1.35 (0.75-2.41)</td>
<td valign="bottom" align="center">0.314</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">History of malaria</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">20.5 (69/337)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">50 (1/2)</td>
<td valign="bottom" align="center">3.88 (0.24-62.88)</td>
<td valign="bottom" align="center">0.340</td>
<td valign="bottom" align="center">4.68 (0.27-80.31)</td>
<td valign="bottom" align="center">0.287</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>AOR, Adjusted odd ratio; COR, Crude odd ratio; CI, Confident interval; ITN, Insecticide-treated net.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Logistic regression analysis of explanatory factors for serological evidence of exposure to <italic>P. vivax</italic> in Langkat district, North Sumatera Province, Indonesia.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Category</th>
<th valign="middle" align="center">Seropositive, % (n/N)</th>
<th valign="middle" align="center">COR (95 % CI)</th>
<th valign="middle" align="center">p-value</th>
<th valign="middle" align="center">AOR (95 % CI)</th>
<th valign="middle" align="center">p-value</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="6" align="left">Gender</th>
</tr>
<tr>
<td valign="middle" align="left">Male</td>
<td valign="bottom" align="center">21.3 (23/108)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Female</td>
<td valign="bottom" align="center">20.4 (47/231)</td>
<td valign="bottom" align="center">0.94 (0.54-1.65)</td>
<td valign="bottom" align="center">0.840</td>
<td valign="bottom" align="center">1.07 (0.59-1.95)</td>
<td valign="bottom" align="center">0.825</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Age group</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2264;15</td>
<td valign="bottom" align="center">18.1 (15/83)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">16&#x2013;30</td>
<td valign="bottom" align="center">19.6 (9/46)</td>
<td valign="bottom" align="center">1.11 (0.44-2.76)</td>
<td valign="bottom" align="center">0.835</td>
<td valign="bottom" align="center">0.80 (0.24-0.72)</td>
<td valign="bottom" align="center">0.727</td>
</tr>
<tr>
<td valign="middle" align="left">31&#x2013;45</td>
<td valign="bottom" align="center">23.1 (18/78)</td>
<td valign="bottom" align="center">1.36 (0.63-2.93)</td>
<td valign="bottom" align="center">0.433</td>
<td valign="bottom" align="center">0.86 (0.28-0.67)</td>
<td valign="bottom" align="center">0.791</td>
</tr>
<tr>
<td valign="middle" align="left">&gt;45</td>
<td valign="bottom" align="center">21.2 (28/132)</td>
<td valign="bottom" align="center">1.22 (0.61-2.45)</td>
<td valign="bottom" align="center">0.576</td>
<td valign="bottom" align="center">0.81 (0/28-2.35)</td>
<td valign="bottom" align="center">0.697</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">ITN ownership</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">20.9 (49/235)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">20.2 (21/104)</td>
<td valign="bottom" align="center">0.96 (0.54-1.70)</td>
<td valign="bottom" align="center">0.89</td>
<td valign="bottom" align="center">0.83 (0.32-2.14)</td>
<td valign="bottom" align="center">0.704</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">ITN use</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">20.4 (40/196)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">20.9 (30/143)</td>
<td valign="bottom" align="center">1.04 (0.61-1.76)</td>
<td valign="bottom" align="center">0.898</td>
<td valign="bottom" align="center">1.16 (0.49-2.78)</td>
<td valign="bottom" align="center">0.722</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Occupation</th>
</tr>
<tr>
<td valign="middle" align="left">Non-forest goers</td>
<td valign="bottom" align="center">13.6 (3/22)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Forest goers</td>
<td valign="bottom" align="center">23.6 (47/199)</td>
<td valign="bottom" align="center">1.96 (0.56-6.91)</td>
<td valign="bottom" align="center">0.296</td>
<td valign="bottom" align="center">1.76 (0.48-6.51)</td>
<td valign="bottom" align="center">0.397</td>
</tr>
<tr>
<td valign="middle" align="left">Unemployed</td>
<td valign="bottom" align="center">16.9 (20/118)</td>
<td valign="bottom" align="center">1.29 (0.35-4.79)</td>
<td valign="bottom" align="center">0.701</td>
<td valign="bottom" align="center">1.18 (0.29-4.92)</td>
<td valign="bottom" align="center">0.814</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Live within forest fringe</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">12.8 (6/47)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">21.9 (64/292)</td>
<td valign="bottom" align="center">1.92 (0.78-4.72)</td>
<td valign="bottom" align="center">0.156</td>
<td valign="bottom" align="center">0.95 (0.36-2.51)</td>
<td valign="bottom" align="center">0.914</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">Spend night at the forest</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">12.4 (27/218)</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">35.5 (43/121)</td>
<td valign="bottom" align="center">3.89 (2.25-6.75)</td>
<td valign="bottom" align="center">&lt;0.001</td>
<td valign="bottom" align="center">3.93 (2.12-7.14)</td>
<td valign="bottom" align="center">&lt;0.001</td>
</tr>
<tr>
<th valign="middle" colspan="6" align="left">History of malaria</th>
</tr>
<tr>
<td valign="middle" align="left">No</td>
<td valign="bottom" align="center">20.8 (70/337)</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
</tr>
<tr>
<td valign="middle" align="left">Yes</td>
<td valign="bottom" align="center">0 (0/2)</td>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
<td valign="bottom" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>AOR, Adjusted odd ratio; COR, Crude odd ratio; CI, Confident interval; ITN, Insecticide-treated net.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>This cross-sectional study, nested within a prior epidemiological survey on submicroscopic malaria (<xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>), analyzed antibody responses to AMA-1 and MSP-1<sub>19</sub> of <italic>P. falciparum</italic> and <italic>P.&#xa0;vivax</italic> in samples collected from the population in Langkat district, North Sumatera Province, Indonesia. The serological outcomes revealed similarities in the seroprevalence of both species and a relationship between age groups and seroprevalence rates. The&#xa0;study also identified higher transmission levels of <italic>P. falciparum</italic> compared to <italic>P. vivax</italic> based on SCR and found that spending nights in the forest was a risk factor associated with <italic>P. vivax</italic> exposure. These findings could help inform malaria elimination efforts in Indonesia and support the potential integration of seroepidemiological methods into routine elimination programs.</p>
<p>The antigens AMA-1 and MSP-1<sub>19</sub> were selected because they are present in both species, represent the erythrocytic stage of the parasites, and have been widely used as markers of exposure in the past. The analysis of antibody responses among the study participants revealed a similar seroprevalence rate of 20.7%, with individuals responding to at least one antigen from either <italic>P. falciparum</italic> or <italic>P. vivax</italic>. Although no other serological surveys had been conducted previously in Langkat district, these rates were relatively higher compared to those found in similar epidemiological settings in Sumatera, such as a population survey in Aceh Province, Indonesia, in 2013 (6.9% for <italic>P. falciparum</italic> and 2%, for <italic>P. vivax</italic>) (<xref ref-type="bibr" rid="B35">Surendra et&#xa0;al., 2019</xref>). Nevertheless, these findings are inconsistent with reports from other countries with <italic>P. falciparum</italic>&#x2013;<italic>P. vivax</italic> co-endemicity in the Southeast Asian region where antibodies against <italic>P. falciparum</italic> antigens were found to be higher than <italic>P. vivax</italic> antigens such as Malaysia (58% and 10%) (<xref ref-type="bibr" rid="B28">Rahim et&#xa0;al., 2023</xref>), Thailand (79% and 40%) (<xref ref-type="bibr" rid="B27">Rahim et&#xa0;al., 2022</xref>), Vietnam (38% and 31%) (<xref ref-type="bibr" rid="B30">San et&#xa0;al., 2022</xref>), and Myanmar (30% and 14%) (<xref ref-type="bibr" rid="B11">Edwards et&#xa0;al., 2021</xref>). The observed difference in seroprevalence rates could be attributed to the fact that antibody responses reflect cumulative exposure events, including past asymptomatic submicroscopic infections (<xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B22">Macalinao et&#xa0;al., 2023</xref>), and the relatively long half-life of responses against Pf/PvAMA-1 and Pf/PvMSP-1<sub>19</sub> antigens generated after exposure (<xref ref-type="bibr" rid="B30">San et&#xa0;al., 2022</xref>). Additionally, the historical co-dominance of <italic>P. falciparum</italic> and <italic>P. vivax</italic> in the study area with similar prevalence of 13.8% and 13.6%, respectively (<xref ref-type="bibr" rid="B21">Lubis et&#xa0;al., 2017</xref>), may have contributed to the similar seroprevalence rates observed for both species in the population, highlighting the need for targeted malaria elimination strategies in Indonesia.</p>
<p>Seroprevalence reflects cumulative malaria exposure and modelling changes between seroprevalence and age (i.e. SCR), can be used to estimate transmission intensity in a population (<xref ref-type="bibr" rid="B14">Idris et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B37">van den Hoogen and Drakeley, 2017</xref>). In this study, SCRs estimated from the age-adjusted seroprevalence curves for <italic>P. falciparum</italic> antigens were higher than the ones for <italic>P. vivax</italic> antigens, reflecting the more intense transmission of the former species in Langkat district. These differences in SCR estimates are likely to reflect the different ecological factors that affect malaria exposure and the acquisition of immunity to malaria in the area (<xref ref-type="bibr" rid="B8">Cunha et&#xa0;al., 2014</xref>). Unfortunately, data on the ecology of malaria parasitism in this survey were not recorded to enable the testing of these hypotheses. Additionally, different transmission patterns for falciparum and vivax as evidenced by data are likely to reflect the actual difference in transmission of the two species observed over the years. Furthermore, the higher seroconversion rate of <italic>P. falciparum</italic> compared to <italic>P. vivax</italic> may be due to its more frequent symptomatic infections, higher transmission intensity, and possibly longer persistence of antibodies post-infection (<xref ref-type="bibr" rid="B16">Kattenberg et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B13">Herman et&#xa0;al., 2023</xref>). <italic>P. falciparum</italic> also typically causes more severe disease, prompting a stronger and more detectable immune response over time (<xref ref-type="bibr" rid="B38">van den Hoogen et&#xa0;al., 2020</xref>).</p>
<p>The estimated SCR for the AMA-1 was higher than that of MSP-1<sub>19</sub> for both <italic>P. falciparum</italic> and <italic>P. vivax</italic> in Langkat District, aligning with results from other seroepidemiological studies (<xref ref-type="bibr" rid="B6">Cook et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B36">Tusting et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B42">Wong et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B15">Idris et&#xa0;al., 2017b</xref>; <xref ref-type="bibr" rid="B19">Kwenti et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B35">Surendra et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B38">van den Hoogen et&#xa0;al., 2020</xref>). The differences in transmission estimates between AMA-1 and MSP-1<sub>19</sub> may be attributed to variations in seroconversion and reversion rates, which are potentially influenced by differences in immunogenicity, subclass-dependent half-life, and antigen polymorphism (<xref ref-type="bibr" rid="B1">Badu et&#xa0;al., 2012</xref>). AMA-1, being more immunogenic and associated with higher antibody titers than MSP-1<sub>19</sub>, likely exhibits faster seroconversion and seroreversion rates (<xref ref-type="bibr" rid="B10">Drakeley et&#xa0;al., 2005</xref>), which might also explain the observations. Furthermore, the absence of an age-related trend in seroprevalence for the AMA-1 and MSP-1<sub>19</sub> antigens of both <italic>P. falciparum</italic> and <italic>P. vivax</italic> in the present study limits their value when analyzed using the current modelling approach. Alternative serological estimates of malaria transmission intensity, such as the antibody acquisition model (<xref ref-type="bibr" rid="B43">Yman et&#xa0;al., 2016</xref>) and the unified mechanistic model (<xref ref-type="bibr" rid="B20">Kyomuhangi and Giorgi, 2021</xref>) can enhance the precision of transmission estimates.</p>
<p>Multivariate regression analyses identified that for <italic>P. falciparum</italic>, no variables were significantly associated with seropositivity in the adjusted model. However, spending nights in the forest was associated with <italic>P. vivax</italic> seropositivity. This observed association could be due to the distinct ecological and behavioral patterns of the vectors that transmit <italic>P. vivax</italic>, which are often more exophagic (outdoor-biting) and exophilic (outdoor-resting) compared to those transmitting <italic>P. falciparum</italic> (<xref ref-type="bibr" rid="B2">Baird, 2013</xref>). A recent study in Sumatera showed that predominant <italic>P. vivax</italic> vectors, such as <italic>Anopheles dirus</italic> (Aceh Province) and <italic>Anopheles kochi</italic> (North Sumatera Province), thrive in forested environments where they have greater access to humans sleeping outdoors or in forested areas (<xref ref-type="bibr" rid="B25">Permana et&#xa0;al., 2023</xref>), which could lead to higher exposure risk. This is consistent with the reported risk factors from a previous study, where 59.4% of individuals had forest-associated occupation, and 75.7% had a history of forest visits (<xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>). In contrast, <italic>P. falciparum</italic> vectors are generally more endophagic (indoor-biting), reducing the likelihood of transmission in forest settings (<xref ref-type="bibr" rid="B5">Cohen et&#xa0;al., 2012</xref>). The resilience of <italic>P. vivax</italic> to low-density environments and its ability to persist in temperate climates further increases its transmission potential in forested regions (<xref ref-type="bibr" rid="B3">Battle et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B43">Yman et&#xa0;al., 2016</xref>). Additionally, <italic>P. vivax</italic> hypnozoites can cause relapses, maintaining seropositivity even with intermittent exposure (<xref ref-type="bibr" rid="B12">Flannery et&#xa0;al., 2022</xref>).</p>
<p>This study had several limitations. The most significant was the insufficient sample size, which inevitably reduced the precision of the current SCR estimates (<xref ref-type="bibr" rid="B31">Sep&#xfa;lveda et&#xa0;al., 2015</xref>). Additionally, the disproportionate sampling and overrepresentation of adult participants may have led to results that are not fully representative of the study population. This oversampling likely occurred due to the timing of surveys, as most were conducted on weekdays when children were in school. Furthermore, the study was restricted to a small geographical area in Langkat district, a region with very low malaria endemicity (<xref ref-type="bibr" rid="B21">Lubis et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B23">Nainggolan et&#xa0;al., 2022</xref>). This limitation raises concerns about the generalizability of the findings to other areas of Indonesia or beyond. Lastly, the study utilized only two recombinant antigens for each <italic>Plasmodium</italic> species. While these antigens are considered long-term markers of transmission (<xref ref-type="bibr" rid="B10">Drakeley et&#xa0;al., 2005</xref>), individual variations in immune responses to different parasite antigens suggest that using a broader range of antigens, including short-term markers, might improve the identification of seropositive individuals (<xref ref-type="bibr" rid="B18">Kerkhof et&#xa0;al., 2016</xref>). Despite these limitations, the study contributes to the collective body of knowledge on malaria antibodies and lays the groundwork for the potential future use of this tool in Indonesia, which is especially relevant for other countries also aiming for malaria elimination.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<title>Conclusion</title>
<p>This study assessed antibody responses to AMA-1 and MSP-1<sub>19</sub> antigens of <italic>P. falciparum</italic> and <italic>P. vivax</italic> in Langkat District, Indonesia, revealing similarities in seroprevalence and significant age-related variations in seropositivity rates. The findings indicate higher transmission levels of <italic>P. falciparum</italic> compared to <italic>P. vivax</italic>, aligning with global patterns but diverging from observations in co-endemic settings in Southeast Asia. The association between spending nights in the forest and increased <italic>P. vivax</italic> seropositivity highlights the role of vector behavior and ecological factors in transmission dynamics. These insights emphasize the need for targeted interventions tailored to specific populations with varying demographics and risk factors, as well as the integration of seroepidemiological tools into malaria elimination strategies in Indonesia. By understanding the distinct transmission patterns and associated risk factors, tailored approaches can be developed to address the specific challenges of <italic>P. falciparum</italic> and <italic>P. vivax</italic> elimination.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Ethics Committee of the Faculty of Medicine, Universitas Sumatera Utara. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x2019; legal guardians/next of kin.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>IL: Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. IN: Investigation, Methodology, Writing &#x2013; original draft. MM: Investigation, Methodology, Writing &#x2013; original draft. BH: Investigation, Methodology, Writing &#x2013; original draft. KS: Data curation, Formal analysis, Software, Writing &#x2013; original draft. LS: Data curation, Formal analysis, Software, Writing &#x2013; original draft. SC: Conceptualization, Funding acquisition, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Investigation. PD: Conceptualization, Funding acquisition, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Investigation. RP: Investigation, Methodology, Writing &#x2013; original draft. ZI: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the ASEAN Science Technology and Innovation Fund (ASTIF; FF-2019-124) from the ASEAN Secretariat and Geran Ganjaran Penerbitan (GP-K019336, TAP-K019336) from the Faculty of Medicine, Universiti Kebangsaan Malaysia.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We would like to extend our gratitude to the communities and community leaders for their support and participation in the survey. We wish to sincerely thank all members of the field team. We are grateful to Mohd Amirul Fitri A. Rahim, Nuraffini Ghazali and Noor Wanie Hassan for their assistance in the laboratory work.</p>
</ack>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s12" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
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